Question

A set of real numbers is graphed. Find an inequality involving an absolute value that describes the set.

Short answer

$|x+2|>1$

Step-by-step solution

Step 1. Determining the Graph.

The given Graph is

Step 2. Determining the inequality.

$x<-3\mathrm{or}x>-1$

Step 3. Determining the inequality including the absolute values.

$\begin{array}{c}x<-3\\ x+2<1\end{array}$ $\begin{array}{c}x>-1\\ x+2>1\end{array}$

So,

$|x+2|>1$